On the Stability of the Finite Difference based Lattice Boltzmann Method
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Conference PaperAuthors
El-Amin, Mohamed
Sun, Shuyu

Salama, Amgad

KAUST Department
Computational Transport Phenomena LabComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Earth Science and Engineering Program
Physical Science and Engineering (PSE) Division
Date
2013-06-01Online Publication Date
2013-06-01Print Publication Date
2013Permanent link to this record
http://hdl.handle.net/10754/552433
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This paper is devoted to determining the stability conditions for the finite difference based lattice Boltzmann method (FDLBM). In the current scheme, the 9-bit two-dimensional (D2Q9) model is used and the collision term of the Bhatnagar- Gross-Krook (BGK) is treated implicitly. The implicitness of the numerical scheme is removed by introducing a new distribution function different from that being used. Therefore, a new explicit finite-difference lattice Boltzmann method is obtained. Stability analysis of the resulted explicit scheme is done using Fourier expansion. Then, stability conditions in terms of time and spatial steps, relaxation time and explicitly-implicitly parameter are determined by calculating the eigenvalues of the given difference system. The determined conditions give the ranges of the parameters that have stable solutions.Citation
On the Stability of the Finite Difference based Lattice Boltzmann Method 2013, 18:2101 Procedia Computer SciencePublisher
Elsevier BVJournal
Procedia Computer ScienceConference/Event name
13th Annual International Conference on Computational Science, ICCS 2013Additional Links
http://linkinghub.elsevier.com/retrieve/pii/S1877050913005231ae974a485f413a2113503eed53cd6c53
10.1016/j.procs.2013.05.380